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Worksheets9th Grade Unit 1:Solving Linear Equations and Inequalities
Total questions: 43
Worksheet time: 3hrs 24mins
Name
Class
Date
1.
Solve for f:
f - 4 = 6f + 26
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
2.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
3.
Solve for x:
4(1-x)+3x=-2(x+1)
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
4.
Which operation will cancel out multiplication?
a)
A. Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
5.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
6.
Solve for the indicated variable.
a)
A = l/w
b)
w = l/A
c)
w = A
d)
w = A/l
7.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
8.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
9.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
10.
A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?
a)
30 + 0.15x = 36 + 0.10x
b)
30 - 0.15x = 36 - 0.10x
c)
30 + 36 = 0.10x + 0.36x
d)
36 - 30 = 0.36x + 0.10x
11.
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?
a)
2 miles
b)
4 miles
c)
.50 mile
d)
-4 miles
12.
Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class. Write an equation to determine how many classes would need to be taken for the price to be equal?
a)
125 - 100 = 45x + 35x
b)
100x + 45 = 125x + 35
c)
100 + 45x = 125 + 35x
d)
100 - 45x = 125 - 35x
13.
What is the 100th term in the following pattern:
1, 11, 21, 31, 41,...
1, 11, 21, 31, 41,...
a)
T100 = 991
b)
T100 = 1001
c)
T100 = 1011
d)
T100 = 901
14.
What is the 100th term in the following pattern:
6, 7, 8, 9, 10,...
6, 7, 8, 9, 10,...
a)
T100 = 105
b)
T100 = 106
c)
T100 = 96
d)
T100 = 100
15.
What is the 100th term in the following pattern:
100, 95, 90, 85, 80,...
100, 95, 90, 85, 80,...
a)
T100 = -395
b)
T100 = 605
c)
T100 = 395
d)
T100 = -605
16.
Solve for x:
4(1 - x) + 3x = - 2(x + 1)
a)
x = - 6
b)
x = 6
c)
x = 3
17.
Identify the property of equality used & the solution.
a)
addition: 26
b)
addition: 2
c)
subtraction: 26
d)
subtraction: 2
18.
Identify the property of equality used & the solution.
a)
division: 7
b)
addition: - 40
c)
multiplication: - 30
d)
division: - 7
19.
Identify the property of equality used & the solution.
a)
division: 50
b)
multiplication: 50
c)
multiplication: -50
d)
addition: -5
20.
Step 1 is what
a)
addition property of equality
b)
given
c)
subtraction property of equality
d)
prove
21.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
22.
What is step 4
a)
Substitution property (simplify)
b)
Addition property of equality
c)
Subtraction property of equality
23.
What is step 6
a)
Subtraction property of equality
b)
Addition property of equality
c)
Division property of equality
24.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
25.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
26.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
27.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
28.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
29.
−2|−2r − 4| = -12
a)
{3,1}
b)
{-5,1}
c)
{-3}
d)
No Solution
30.
What is the absolute value of -12?
a)
0
b)
12
c)
-12
d)
It's hard to say
31.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
32.
|−r − 4| = - 12
a)
{3,1}
b)
{-5,1}
c)
{-3}
d)
No Solution
33.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
34.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
35.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
36.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
37.
Solve:
8 - 3k < 8(1 - 7k)
8 - 3k < 8(1 - 7k)
a)
k < 5
b)
k > 5
c)
k < -33
d)
k < 0
38.
Which is a solution of
5(v + 3) - 10v > -10
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
39.
Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?
a)
yes
b)
no
40.
Solve 24 > -3r > -9
a)
-8 < r < 3
b)
-8 > r > 3
c)
r > - 8 and r > 3
d)
r > -8 or r < 3
41.
x + 8 < 3 or - 8x < -40
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5
d)
x > -5 and x < 5
42.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
43.
Solve and graph the compound inequality
a)
A
b)
B
c)
C
d)
D
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